A counterexample to the global dual \(L^3\) Schrödinger maximal estimate in \(\mathbb{R}^2\)

DOI10.1016/j.jmaa.2023.127199zbMath1516.35351OpenAlexW4323659983WikidataQ124802336 ScholiaQ124802336MaRDI QIDQ6155832

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Publication date: 7 June 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2023.127199

zbMATH Keywords

Schrödinger equationpointwise convergenceSchrödinger maximal estimate

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Schrödinger operator, Schrödinger equation (35J10) Fractional partial differential equations (35R11) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

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• A note on the Schrödinger maximal function
• A local smoothing estimate for the Schrödinger equation
• Lower bounds for estimates of the Schrödinger maximal function
• \(L^p\)-estimate of Schrödinger maximal function in higher dimensions
• Sharp \(L^2\) estimates of the Schrödinger maximal function in higher dimensions
• A sharp Schrödinger maximal estimate in \(\mathbb{R}^2\)
• An improved maximal inequality for 2D fractional order Schrödinger operators
• A note on pointwise convergence for the Schrödinger equation
• Pointwise convergence of solutions to Schr\"odinger equations

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